Frequency-domain modelling of reset control systems using an impulsive description

The ever-increasing industry desire for improved performance makes linear controller design run into fundamental limitations. Nonlinear control methods such as Reset Control (RC) are needed to overcome these. RC is a promising candidate since, unlike other nonlinear methods, it easily integrates into the industry-preferred PID design...

Reset based Skyhook damping: A nonlinear control method for improved transient response.

As the age of industry 4.0 evolves expeditiously, the demand for improved performance in the high-tech industry is rapidly increasing. Industries such as the semiconductor, optical, and metrology have a higher standard in regards of precision to enhance throughput rates and reduce production times between its various stages. The complex machines...

Resetting Velocity Feedback: Reset Control for Active Damping

As the age of digitization evolves rapidly, there is an ever-increasing demand for improving precision and decreasing production times for industrial automation in general, and semiconductor manufacturing in particular. As these complex machines incorporate flexure-based elements to overcome friction and backlash, structural vibrations pose a...

Loop-shaping for reset control systems: A higher-order sinusoidal-input describing functions approach

The ever-growing demands on speed and precision from the precision motion industry have pushed control requirements to reach the limitations of linear control theory. Nonlinear controllers like reset provide a viable alternative since they can be easily integrated into the existing linear controller structure and designed using industry...

Frequency-Domain Modelling of Reset Control Systems using an Impulsive Description

The ever-increasing industry desire for improved performance makes linear controller design run into its fundamental limitations. A nonlinear controller, such as Reset Control (RC), is needed to overcome these. RC is promising since, unlike other nonlinear methods, it easily integrates into the PID design framework preferred by industry. Thus...

Tuning of CgLp based reset controllers: Application in precision positioning systems

This paper presents the tuning of a reset-based element called “Constant in gain and Lead in phase” (CgLp) in order to achieve desired precision performance in tracking and steady state. CgLp has been recently introduced to overcome the inherent linear control limitation - the waterbed effect. The analysis of reset controllers including ones...

Tuning of the ‘Constant in gain Lead in phase’ Element for Mass-like Systems

The development of the high-tech industry has pushed the requirements of motion applications to extremes regarding precision, speed and robustness. A clear example is given by the wafer and reticle stages that require rigorous demands like robust nanometer precision and high-speed motion profiles to ensure product quality and production...

Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach

Stringent control demands from the high-tech mechatronics industry have warranted the need to explore potentially advantageous non-linear controllers. Variable Fractional Order (VFO) calculus provides one such avenue to build non-linear PID-like controllers. VFO calculus is the generalization of integer order differentiation and integration,...

Tuning a Novel Reset Element through Describing Function and HOSIDF Analysis

The high-tech industry is pushing the motion system technology towards faster, more precise and more robust system. One of the keys to this growing demand is the advancement of motion control. To this day, Proportional-Integral-Derivative (PID) has been the workhorse for the industry system control. This is because PID is simple to design and...

Towards a Material Point Method with Powell-Sabin spline basis functions: MPM with higher-order C1-continuous basis functions on triangulations

The material point method (MPM) is a numerical method for simulating ground deformations, that combinesthe benefits of a fixed grid with movingmaterial points, which carry the history dependent information of thecontinuum. During each time step, this information is projected to the grid, on which the equations of motionare solved and a...

Frequency analysis of reset systems containing a Clegg integrator: An introduction to higher order sinusoidal input describing functions

PID is the most popular controller in the industry. PID controllers are linear, and thus have fundamental limitations, such that certain performance criteria cannot be achieved. To overcome these limitations, nonlinear reset control can be used. Reset control can achieve less overshoot and a faster response time than linear controllers. However,...

Development of CRONE reset control

In high-tech industry (sub)nanometre precision motion control is essential. For example wafer scanners, used for production of integrated circuits, have to provide (sub)nanometre precision positioning whilst satisfying challenging requirements on speed at the same time. It is in demanding cases like this that different requirements begin to...

De memristor in feedback control systemen - The memristor in feedback control systems

In 2008 Hewlett-Packard requested a patent on a passive memristive device, which caused the memristor to become a popular area of research again. This thesis focuses on the mathematical derivation and definition of a memristor and how we can incorporate such a memristor in a feedback control system. We determine the describing function of a...

Contact-free handling using actively controlled electrostatic levitating fields

In general electric field forces have the distinctive property of being able to mediate forces to virtually any material in a fully non-invasive and contact-free fashion. Based on this property, electrostatic levitation holds great promise for the semiconductor, solar panel, and flat-panel display industry since the handling of (semi)conducting...

Human pilot describing function, remnant and associated information for pitch attitude control: in flight and ground-based tracking experiments

Servo-analysis techniques, using mathematical models of human control behaviour, are effectively used in studies of the system formed by the human pilot and the flight control system/aircraft combination. Measurement and data analysis techniques for the determination of pilot describing function, remnant and associated information needed in...